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The remainder theorem states that the remainder of the division of any polynomial P(x) by another lineal factor in the form (x-c) is equal to the evaluation of the polynomial P(x) at the value x=c, that is, the remainder of the division P(x)÷(x-c) is P(c).
4.1 理解 餘式定理 (Understand the Remainder Theorem) 餘式定理 嘅用處好簡單:. 幫我哋計算出“當一個多項式被 (ax + b) 除嘅時候,嗰餘數係幾多”. 咁到底要點計呢? 根據餘式定理:. 當一個多項式 f (x) 被 (ax + b) 除嘅時候,餘數 = f (-b/a) 用返前面4.1嘅例子嚟講解。. 當 ...
The Remainder Theorem Date_____ Period____ Evaluate each function at the given value. 1) f (x) = −x3 + 6x − 7 at x = 2 2) f (x) = x3 + x2 − 5x − 6 at x = 2 3) f (a) = a3 + 3a2 + 2a + 8 at a = −3 4) f (a) = a3 + 5a2 + 10 a + 12 at a f
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其實大家可以用以下嘅步驟去記 “點計個餘數”: 先喺草稿紙上寫低 “除數式 = 0” . (喺例子度即係 2x – 4 = 0) n 解方程“除數式 = 0” . (即. 代“方程嘅答案”(即x=2) 入“被除數”嘅多項式度。 計到嘅數值就係要求嘅餘數. 以上就係個方法。 而答案就可以咁寫: 根據餘式定理, 餘數 = 4(2)3 – 2(2)2 + 4(2) – 6 x = 2) ß 如果題目有講被除數係f(x), 可加多一行“ = f(2)” = 32 – 8 + 8 – 6 = 26. 2 留意我哋係唔須要寫低喺答題簿度我哋係點要知代咩數入個被除數度計餘數嘅。 中學文憑溫習室. http://www.takwing.idv.hk/dse_room.
Use the techniques in this section to find the rest of the real zeros and factor the polynomial. 21. \(x^{3} -6x^{2} +11x-6,\; \; c=1\) 22. \(x^{3} -24x^{2} +192x-512,\; \; c=8\)
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What is the Remainder Theorem, How to use the Remainder Theorem, How to use the remainder and factor theorem in finding the remainders of polynomial divisions and also the factors of polynomial divisions, How to factor polynomials with remainders, with video lessons, examples and step-by-step solutions.
What does the Remainder Theorem say? The Remainder Theorem tells us that, in order to evaluate a polynomial p(x) at some number x = a, we can instead divide by the linear expression x − a. The remainder, r(a), gives the value of the polyomial at x = a.